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72890028 = 223213714779
BaseRepresentation
bin1000101100000…
…11011010101100
312002011012022200
410112003122230
5122124440103
611122141500
71543361241
oct426033254
9162135280
1072890028
11381653a2
12204b1890
13121410c3
1499755c8
1565ec0a3
hex45836ac

72890028 has 36 divisors (see below), whose sum is σ = 185607240. Its totient is φ = 24117696.

The previous prime is 72890017. The next prime is 72890039. The reversal of 72890028 is 82009827.

It is an interprime number because it is at equal distance from previous prime (72890017) and next prime (72890039).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 72889974 and 72890001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2458 + ... + 12321.

Almost surely, 272890028 is an apocalyptic number.

It is an amenable number.

72890028 is an abundant number, since it is smaller than the sum of its proper divisors (112717212).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72890028 is a wasteful number, since it uses less digits than its factorization.

72890028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14926 (or 14921 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 72890028 is about 8537.5656952084. The cubic root of 72890028 is about 417.7239464513.

The spelling of 72890028 in words is "seventy-two million, eight hundred ninety thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 14779 29558 44337 59116 88674 133011 177348 266022 532044 2024723 4049446 6074169 8098892 12148338 18222507 24296676 36445014 72890028